Resumen de Estimates for Fourier transforms of surface measures in R3 and PDE applications
Michael Greenblatt
An explicit local two-dimensional resolution of singularities theorem and arguments based on the Van der Corput lemma are used to give new estimates for the decay rate of the Fourier transform of a locally defined smooth hypersurface measure in R 3, as well as to provide new proofs of some known estimates. These are then used to give Lq bounds on solutions to certain PDE problems in terms of the Lp norms of their initial data for various values of p and q.
